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Finding the Fourth Proportional to 145,635.51, 200,964.19 and 81,099.87

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Solution

The fourth proportional to 145,635.51, 200,964.19 and 81,099.87 is: 111,910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,635.51 : 200,964.19 = 81,099.87 : x
  2. Step 2: Convert to fraction form
    145,635.51/200,964.19 = 81,099.87/x
  3. Step 3: Cross multiply
    145,635.51x = 200,964.19 × 81,099.87
  4. Step 4: Simplify right side
    145,635.51x = 16,298,169,683.66
  5. Step 5: Solve for x
    x = 16,298,169,683.66/145,635.51
  6. Step 6: Final answer
    x = 111,910.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.